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The “trap” is the drug dealing spot. The originally Southern term has gotten so common as to have spawned its own genre
Nicki is using “beez” here to replace the word “be”. She is not talking about trapping actual bees.
Rap Genius says that "If I had one guess then I guess I'm just New Orleans" means:
Wayne lives in Miami, and he was on the hook in “Hello Brooklyn” proclaiming love for the borough. So he’s clarifying that he hasn’t forsaken his birthplace.